Details

sample181.0ms

Algorithm

intervals

Results

80.0ms	98×	body	1280	valid
35.0ms	89×	body	640	valid
26.0ms	301×	body	80	valid
8.0ms	28×	body	320	valid
3.0ms	13×	body	160	valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	30	7
3	67	7
4	139	7
5	271	7
6	828	7
7	4211	7
done	5000	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(* (sin x) (/ (sinh y) y))
0.0b	(sinh y)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`expm1-log1p-u` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 74

Calls

3 calls:

8.0ms	(/ (sinh y) y)
28.0ms	(* (sin x) (/ (sinh y) y))
3.0ms	(sinh y)

series335.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(/ (sinh y) y)
133.0ms	(* (sin x) (/ (sinh y) y))
89.0ms	(sinh y)

simplify1.3s

Counts

83 → 83

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	146	764
1	365	720
2	1734	656
done	5000	649

prune274.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (sin x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

17.0ms

(* (sin x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y))

series297.0ms

Counts

1 → 3

Calls

1 calls:

297.0ms

(* (sin x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y))

simplify939.0ms

Counts

37 → 37

Iterations

Useful iterations: done (937.0ms)

Iter	Nodes	Cost
0	94	791
1	250	771
2	1398	677
done	5000	674

prune134.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sinh y) (sin x))
15.5b	(/ (* (sinh y) (sin x)) y)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
3×	`expm1-log1p-u` `sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

2.0ms	(sinh y)
16.0ms	(* (sinh y) (sin x))
24.0ms	(/ (* (sinh y) (sin x)) y)

series289.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(sinh y)
108.0ms	(* (sinh y) (sin x))
93.0ms	(/ (* (sinh y) (sin x)) y)

simplify750.0ms

Counts

64 → 64

Iterations

Useful iterations: done (748.0ms)

Iter	Nodes	Cost
0	123	572
1	291	546
2	1360	479
done	5000	478

prune180.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	16
1	14	16
done	14	16

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.8s	2860×	body	1280	valid
923.0ms	8295×	body	80	valid
847.0ms	2574×	body	640	valid
391.0ms	1232×	body	320	valid
82.0ms	625×	body	160	valid